Aggregation of binary evaluations: a Borda-like approach

Conal Duddy, Ashley Piggins () and William Zwicker

MPRA Paper from University Library of Munich, Germany

Abstract: We characterize a rule for aggregating binary evaluations -- equivalently, dichotomous weak orders -- similar in spirit to the Borda rule from the preference aggregation literature. The binary evaluation framework was introduced as a general approach to aggregation by Wilson (J. Econ. Theory 10 (1975) 63-77). In this setting we characterize the "mean rule," which we derive from properties similar to those Young (J. Econ. Theory 9 (1974) 43-52) used in his characterization of the Borda rule. Complementing our axiomatic approach is a derivation of the mean rule using vector decomposition methods that have their origins in Zwicker (Math. Soc. Sci. 22 (1991) 187-227). Finally, we derive the mean rule from an approach to judgment aggregation recently proposed by Dietrich (Soc. Choice. Welf. 42 (2014) 873-911)

Keywords: Binary evaluations; judgment aggregation; mean rule; tension; Borda. (search for similar items in EconPapers)
JEL-codes: D70 D71 (search for similar items in EconPapers)
Date: 2014-09
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Citations: View citations in EconPapers (8)

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Related works:
Journal Article: Aggregation of binary evaluations: a Borda-like approach (2016)
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